The Existence of Equilibrium in Discontinuous Economic Games, II: Applications
The Existence of Equilibrium in Discontinuous Economic Games, II: Applications
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DOI：
10.2307/2297589
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
P. Dasgupta;E. Maskin
中科院分区：
文献类型：
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作者：
P. Dasgupta;E. Maskin
在本研究的第一部分中，我们为具有不连续收益函数的博弈中的混合策略均衡建立了两个存在性定理(参见Dasgupta和Maskin（1986）的定理4（4*）和定理5(5*)；以下简称D-M(1986))。在第二部分中，我们利用这两个定理中的第二个定理，证明了一些著名的不存在纯策略均衡的不连续经济博弈中混合策略均衡的存在性。我们分析的模型是Bertrand-Edgeworth在产能限制下的价格设定双寡头的例子（见第2.2节）；生产差异化产品的公司之间的价格竞争(Hotelling（1929）和d’aspremont、Gabszewicz和Thisse (1979)；见第2.3节)；空间竞争（Eaton and Lipsey（1975）和Shaked (1975)）；见第3节)；市场依赖信息模型(Rothschild and Stiglitz (1976) and Wilson (1977))；第四节)。最后（第5节）对这些模型进行了分类。
In part I of this study we established two existence theorems for mixed-strategy equilibrium in games with discontinuous payoff functions (see Theorems 4(4*) and 5(5*) in Dasgupta and Maskin (1986); hereafter D-M (1986)). In this second part we use the second of these two theorems to prove the existence of mixed-strategy equilibrium in some wellknown discontinuous economic games that fail to have pure-strategy equilibria. The models we analyse are the Bertrand-Edgeworth example of price setting duopolists with capacity constraints (see Section 2.2); price competition among firms producing differentiated products (Hotelling (1929) and d'Aspremont, Gabszewicz and Thisse (1979); see Section 2.3); spatial competition (Eaton and Lipsey (1975) and Shaked (1975); see Section 3); and models of market dependent information (Rothschild and Stiglitz (1976) and Wilson (1977); Section 4). The paper concludes (Section 5) with a classification of these models.